Order by disorder from non-magnetic impurities in a two-dimensional quantum spin liquid

Abstract

We consider doping of non-magnetic impurities in the spin-1/2, 1/5-depleted square lattice. This structure, whose undoped phase diagram offers both magnetically ordered and spin-liquid ground states, is realized physically in CaV_4O_9. Doping into the ordered phase results in a progressive loss of order, which becomes complete at the percolation threshold. By contrast, non-magnetic impurities introduced in the spin liquids create a phase of weak but long-ranged antiferromagnetic order coexisting with the gapped state. The latter may be viewed as a true order-by-disorder phenomenon. We study the phase diagram of the doped system by computing the static susceptibility and staggered magnetization using a stochastic series-expansion quantum Monte Carlo technique.

4 pages, 5 figures

References in corpus (9)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Stochastic series expansion method with operator-loop update
• Phase diagram of depleted Heisenberg model for CaV4O9
• Random Quantum Spin Chains: A Real-Space Renormalization Group Study
• Low-Temperature Properties of the Randomly Depleted Heisenberg Ladder
• Enhancement of Antiferromagnetic Correlations Induced by Nonmagnetic Impurities: Origin and Predictions for NMR Experiments
• New phase diagram of Zn-doped CuGeO3
• Meta-Plaquette Expansion for the Triplet Excitation Spectrum in CaV${}_4$O${}_9$
• The spin gap of CaV4O9 revisited

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